Least Common Multiple of 2478/429, 6167/4473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2478/429, 6167/4473 quickly i.e. 727706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2478/429, 6167/4473 is 727706.

LCM(2478/429, 6167/4473) = 727706

LCM of 2478/429, 6167/4473

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2478/429,6167/4473

Given numbers are 2478/429,6167/4473

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2478,6167

Least Common Multiple of Numerators i.e. LCM of 2478,6167 is 2183118.

GCF of Denominators means GCF of 429,4473 as per the given fractions.

GCF of 429,4473 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2478,6167

LCM of Fractions 2478/429,6167/4473 is 727706

7 2478, 6167
354, 881

∴ So the LCM of the given numbers is 7 x 354 x 881 = 2183118

Least Common Multiple of 2478,6167 with GCF Formula

Least Common Multiple of 2478,6167 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2478,6167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2478,6167) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(2478,6167) x common factors =7 x 1 = 7

LCM(2478,6167) = ( 2478 × 6167 ) / 7

LCM(2478,6167) = 15281826 / 7

LCM(2478,6167) = 2183118


Lets's calculate GCF of 429,4473

3 429, 4473
143, 1491

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2183118/3

Therefore the LCM of Fractions 2478/429,6167/4473 is 727706

Greatest Common Factor of 429,4473 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,4473 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 4473

List of positive integer factors of 4473 that divides 4473 without a remainder.

1,3,7,9,21,63,71,213,497,639,1491,4473

Greatest Common Factor

We found the factors 429,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 429,4473 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2478/429, 6167/4473

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2478/429, 6167/4473?

Answer: LCM of Numerators as per given numbers 2478/429, 6167/4473 is

LCM of Numerators i.e. for 2478,6167 is 2183118

GCF of denominators i.e. for 429,4473 is 3.

Thus, LCM of Fractions is 727706.Finally, LCM of Fractions for 2478/429, 6167/4473 is 727706.